On the inductive blockwise Alperin weight condition for the unipotent blocks of finite groups of Lie type E_6

Abstract

In this article, we consider the finite exceptional groups of Lie type E 6 and 2 E 6 . We prove the inductive blockwise Alperin weight condition holds for unipotent l-blocks of E ε 6 (q) if 2, 3 ∤ q, l ≥ 5.